Find the limit lim_{urightarrow1}frac{u^4-1}{u^3-1}

shadsiei

shadsiei

Answered question

2020-12-16

Find the limit
limu1u41u31

Answer & Explanation

Dora

Dora

Skilled2020-12-17Added 98 answers

Given,
limu1u41u31
On simplification, we get
limu1u41u31=limu1(u2)212u313
=limu1(u21)(u2+1)(u1)(u2+u+1)
[a2b2=(ab)(a+b)a3b3=(ab)(a2+ab+b2)]
=limu1(u1)(u+1)(u2+1)(u1)(u2+u+1)
=limu1(u+1)(u2+1)(u2+u+1)
=limu1(1+1)(12+1)(12+1+1)
=43
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-24Added 2605 answers

Answer is given below (on video)

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